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Finding the Fourth Proportional to 492,761.68, 680,012.01 and 266,407.18

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Solution

The fourth proportional to 492,761.68, 680,012.01 and 266,407.18 is: 367,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,761.68 : 680,012.01 = 266,407.18 : x
  2. Step 2: Convert to fraction form
    492,761.68/680,012.01 = 266,407.18/x
  3. Step 3: Cross multiply
    492,761.68x = 680,012.01 × 266,407.18
  4. Step 4: Simplify right side
    492,761.68x = 181,160,080,250.20
  5. Step 5: Solve for x
    x = 181,160,080,250.20/492,761.68
  6. Step 6: Final answer
    x = 367,642.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.